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Test
Math
Domain
Advanced Math
Skill
Equivalent expressions
Difficulty
Easy
ID: 1e8d7183
Modded SAT Question Bank by Abdullah Mallik

Which expression is equivalent to 256w2-676?

  1. (16w-26)(16w-26)

  2. 8w-138w+13

  3. (8w-13)(8w-13)

  4. 16w-2616w+26


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Correct Answer: D
Rationale

Choice D is correct. The given expression follows the difference of two squares pattern, x2-y2, which factors as x-yx+y. Therefore, the expression 256w2-676 can be written as 16w2-262, or 16w16w-2626, which factors as 16w-2616w+26.

Choice A is incorrect. This expression is equivalent to 256w2-832w+676.

Choice B is incorrect. This expression is equivalent to 64w2-169.

Choice C is incorrect. This expression is equivalent to 64w2-208w+169.

Question Difficulty: Easy
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